On the group of extensions for the bicrossed product construction for a locally compact group
For the cocycle bicrossed product construction applied to a locally compact group and its two subgroups, we give a simple description of the group of the corresponding extensions in terms of the second cohomology group of a certain complex of continuous functions on the group. Using this descrip...
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| Дата: | 2004 |
|---|---|
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2004
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/156409 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the group of extensions for the bicrossed product construction for a locally compact group / Yu.A. Chapovsky, A.A. Kalyuzhnyi, G.B. Podkolzin // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 12–20. — Бібліогр.: 7 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-156409 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1564092019-06-19T01:28:41Z On the group of extensions for the bicrossed product construction for a locally compact group Chapovsky, Yu.A. Kalyuzhnyi, A.A. Podkolzin, G.B. For the cocycle bicrossed product construction applied to a locally compact group and its two subgroups, we give a simple description of the group of the corresponding extensions in terms of the second cohomology group of a certain complex of continuous functions on the group. Using this description, we find pairs of continuous cocycles for two subgroups of the Heisenberg group. 2004 Article On the group of extensions for the bicrossed product construction for a locally compact group / Yu.A. Chapovsky, A.A. Kalyuzhnyi, G.B. Podkolzin // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 12–20. — Бібліогр.: 7 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 17B37; 20G42, 17B55. http://dspace.nbuv.gov.ua/handle/123456789/156409 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
For the cocycle bicrossed product construction
applied to a locally compact group and its two subgroups, we give
a simple description of the group of the corresponding extensions
in terms of the second cohomology group of a certain complex of
continuous functions on the group. Using this description, we find
pairs of continuous cocycles for two subgroups of the Heisenberg
group. |
| format |
Article |
| author |
Chapovsky, Yu.A. Kalyuzhnyi, A.A. Podkolzin, G.B. |
| spellingShingle |
Chapovsky, Yu.A. Kalyuzhnyi, A.A. Podkolzin, G.B. On the group of extensions for the bicrossed product construction for a locally compact group Algebra and Discrete Mathematics |
| author_facet |
Chapovsky, Yu.A. Kalyuzhnyi, A.A. Podkolzin, G.B. |
| author_sort |
Chapovsky, Yu.A. |
| title |
On the group of extensions for the bicrossed product construction for a locally compact group |
| title_short |
On the group of extensions for the bicrossed product construction for a locally compact group |
| title_full |
On the group of extensions for the bicrossed product construction for a locally compact group |
| title_fullStr |
On the group of extensions for the bicrossed product construction for a locally compact group |
| title_full_unstemmed |
On the group of extensions for the bicrossed product construction for a locally compact group |
| title_sort |
on the group of extensions for the bicrossed product construction for a locally compact group |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2004 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/156409 |
| citation_txt |
On the group of extensions for the bicrossed product construction for a locally compact group / Yu.A. Chapovsky, A.A. Kalyuzhnyi, G.B. Podkolzin // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 12–20. — Бібліогр.: 7 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT chapovskyyua onthegroupofextensionsforthebicrossedproductconstructionforalocallycompactgroup AT kalyuzhnyiaa onthegroupofextensionsforthebicrossedproductconstructionforalocallycompactgroup AT podkolzingb onthegroupofextensionsforthebicrossedproductconstructionforalocallycompactgroup |
| first_indexed |
2023-05-20T17:49:32Z |
| last_indexed |
2023-05-20T17:49:32Z |
| _version_ |
1796154187118018560 |